Logaritmos y Polinomios 1

\[\log_{2} (2^{x}) = \boxed{x}\]

\[\log_{8} (8^{2x+8}) = \boxed{2x+8}\]

\[\log_{4} (x^{4}) = \boxed{\log_{4}(x^{4})}\]

\[\log_{4} (x^{4}+1) = \boxed{\log_{4} (x^{4}+1)}\]

\[\log_{4} (x^{4}+4) = \boxed{\log_{4} (x^{4}+4)}\]

\[\log_{4} (4^{x^{4}}) = \boxed{x^{4}}\]

\[\log_{4} (4^{x^{9}}) = \boxed{x^{9}}\]

\[\log_{4} (4^{x^{9}}+10) = \boxed{\log_{4} (4^{x^{9}}+10)}\]

\[\log_{4} (4^{x^{9}+10}) = \boxed{x^{9}+10}\]

\[\log_{4} (4^{x^{9}*10}) = \boxed{10x^{9}}\]

\[\log_{4} (4^{x^{9}}*10) = \boxed{\log_{4} (4^{x^{9}}*10)}\]

\[\log_{4} (4^{x^{9}}*4) = \boxed{(x^{9}+1)}\]

\[\log_{4} (4^{x^{9}}*16) = \boxed{(x^{9}+2)}\]